You’d have to be in ‘international waters’ and would have to be well fortified because there would be no ‘legal’ ally, no authorized law to assist since you would be ‘stateless’. You would have to remain on international ground because you’d be an illegal alien in all other countries.
No matter how I count the facts, there is global law that must be somehow circumvented or legally faced in order to form a viable ‘union’.
So I would either want to move off the globe completely, or form another, legal country (the oil rig only moves you from denser populations and since it isn’t permanent land, I’m unsure whether it would qualify for ‘country-hood’.)
The only option would be to actively press, punch and force change to the governing methods of the country upon which we stand. I am pretty sure that might mean a lot more than just voting on the few options given, but attacking the roots before poison flowers.